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Computer Oriented Statistical Methods

Information Technology

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Code : 151601 Common Name : COSM Year : 3 Sem : 5
Theory Hours : 4 Practical Hours : 2 Tutorial Hours : 0 Credits : 6
Exam Marks : 70 Midsem Marks : 30 Practical Marks : 50 Total : 150


Syllabus Topics


Computer Arithmetic
Floating point representation of numbers, Arithmetic operations with normalized floating point numbers and their consequences, Error in number representation - Pitfalls in computing, Error propagation in evaluation.



Iterative Methods
Bisection, False position, Scant, Newton - Raphson methods. Successive approximation method, Newton raphson method for two variables, Discussion of convergence, Solving polynomial equations, Budan''s theorem, Barirstow''s method, Graeffe''s root squaring method.



Interpolation and Approximation
Polynomial interpolation, Truncation error in interpolation, Difference tables and calculus of differences, Cubic splines, Inverse interpolation, Linear regression and nonlinear regression using least square approximation, Approximation of function by Taylor Series and Chebyshev Polynomials.



Numerical Differentiation And Integration
Differentiation dormulas based on polynomial fit, Pit-Falls in differentiation trapezoidal, Simpson''s and gossip quadrature formulas.



Solution Of Simultaneous Linear Equation And Ordinary Differential Equations
Refinement of solution in Gauss elimination method pivoting, Ill Conditional equations, Gauss - Seidal and Gauss Jacobi Interactive methods, Taylor Series And Euler Methods, Error analysis, Runge-Kutta Methods, Predictor-Corrector methods, Automatic error monitoring and change of step size stability of solution.



Statistical Methods
Frequency distributions, Data analysis, Expectations and moments, Co-relation and regression, Trend analysis, Seasonal effects, Cyclical fluctuation, Moving average, MSE, Predictions.




Books

Computer Oriented Numerical Methods

R. S. Salaria., - Khanna Publisher

Computer Oriented Numerical Methods

V Rajaraman., - PHI.

Introduction to Numerical Analysis

S. S. Sastry., - PHI .

Numerical Methods for Scientific & Engineering Computation

M. K. Jain, S.R.K. Lyenger , R. K. Jain, - Wiley Eastern Ltd.

Numerical Methods in Science & Engineering Prog

Dr. B. S. Grawal, - Khanna Pub., New Delhi.

Miller & Freund’s Probability and Statistics for Engineers

Richard A Johnson., - PHI.

Fundamentals of Mathematical Statistics

S. C. Gupta & V. K. Kapoor - Sultan Chand & Sons

Computer Oriented Numerical Methods

D s vyassh & wandra Akshat

Exam Papers

Sem20102011201220132014
5Dec - 2010
13-12-2010


Nov - 2011
22-11-2011


Jun - 2011
20-06-2011


Dec - 2012
11-01-2013


May - 2012
01-06-2012


Nov - 2013
27-11-2013


May - 2013
14-05-2013


Jun - 2014
11-06-2014


Jun - 2014
11-06-2014



GTU Result

ExamTotalPassPass %FailFail %AA
1,7711,52986.3424213.6614
3,0612,78891.082738.9233
3,3602,98288.7537811.2584
3,0722,39277.8668022.1417


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